Given:
Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies.
To find:
The equation that she should use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar.
Solution:
Let the number of teaspoons of baking soda be x, that is needed if she uses 9 cups of sugar.
For every 2 teaspoons of baking soda Trisha uses 3 cups of sugar.
For every 1 teaspoons of baking soda Trisha uses [tex]\dfrac{3}{2}[/tex] cups of sugar.
For every x teaspoons of baking soda Trisha uses [tex]\dfrac{3}{2}x[/tex] cups of sugar.
Since she uses 9 cups of sugar for every x teaspoons of baking soda, therefore,
[tex]\dfrac{3}{2}x=9[/tex]
Multiply both sides by 2.
[tex]3x=18[/tex]
Divide both sides by 3.
[tex]x=6[/tex]
Therefore, the required equation is [tex]\dfrac{3}{2}x=9[/tex] and the number of required teaspoons of baking soda is 6.
To make the expression 4x-2 + (2x + 4) equivalent to 2(6x + 7), what must be the value in the box?
[tex]4x - 2 + (2x + 4) = 2(6x + 7) \\ [/tex]
[tex]4x - 2 + 2x + 4 = 12x + 14[/tex]
Simplification
[tex]6x + 2 = 12x + 14[/tex]
Subtract sides 2
[tex]6x + 2 - 2 = 12x + 14 - 2[/tex]
Simplification
[tex]6x = 12x + 12[/tex]
Subtract sides -12x
[tex]6x - 12x = 12x - 12x + 12[/tex]
Simplification
[tex] - 6x = 12[/tex]
Divided sides by -6
[tex] \frac{ - 6}{ - 6}x = \frac{12}{ - 6} \\ [/tex]
[tex]x = - 2[/tex]
It is must be in the box buddy.
And we're done...♥️♥️♥️♥️♥️
HELPPPP!!!! PLEASE AND THANK YOU ALL FOR ANYONE WHO ANSWER :)
simplify the expression
-d – 10.25(16d – 4)
Answer:
−165d+41
Step-by-step explanation:
HELP , ILL GIVE BRAINLIEST. Answer 5-8 please .
Answer:
#5. 17, #6. 22, #7. 14, and #8. 13
Step-by-step explanation:
I need help with this geometry
Need help pleaseeeeeeee
Answer:
B and C
Step-by-step explanation:
Answer:
Transversal/Parallel/Perpendicular
Step-by-step explanation:
What types of lines intersect and are coplanar?
Coplanar Lines
Three types of lines that are coplanar are parallel lines, perpendicular lines, and transversals. These all exist in a single plane, unlike skew lines (which exist in multiple planes). Any two lines in a plane must necessarily either be parallel or intersect.
Sergio wants to go the Empire State Building. The shortest path from the airport to the Empire State Building is about 14.4 miles long. What will be the cost of using Uber rush ?
Answer:
$5.76 should be the answer as 14.4 divided by 2.50 gets the answer.
Step-by-step explanation:
MAX POINTS ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST ONLY CORRECT ANSWER
A conjecture and the two-column proof used to prove the conjecture are shown.
Given: the measure of angle C B D equals 90 degrees. Prove: triangle A B C is a right triangle. Ray B D extends down and perpendicular from point B on segment B C.
Drag an expression or phrase to each box to complete the proof.
Statement Reason
1. m∠CBD=90° Given
2. ∠ABC and ∠CBD are supplementary. Response area
3. Response area Definition of supplementary
4. m∠ABC+90°=180° Response area
5. Response area Subtraction Property of Equality
6. ∠ABC is a right angle. Definition of right angle
7. △ABC is a right triangle. Definition of right triangle
Answer:
I took the test
Step-by-step explanation: Linear pair postulate
m<abc + m<cbd =180°
subtraction property of equality
m<abc -90°
All expression and phrase are filled below.
Here,
We have to filled all expression and phrase.
What is right angled triangle?
A right-angled triangle is a triangle, which has one of its interior angles equal to 90 degree.
Now,
Given that;
⇒ m∠CBD = 90 degree ….(i)
We have to prove triangle ABC is right angled triangle.
We can see that the line extends down and perpendicular to the line segment BC at point B.
We can also see that ∠ABC and ∠CBD are supplementary angle.
Hence, We prove as;
Statement Reason
1) m∠CBD = 90 degree ( Given )
2) ∠ABC and ∠CBD are supplementary. ( Because ABD is a line and
∠ABC and ∠CBD are linear
pair)
3). ∠ABC+∠CBD = 180 degree ( Definition of supplementary)
4) ∠ABC+ 90 = 180 degree ( m∠CBD = 90 degree )
5) ∠ABC + 90 - 90 = 180° - 90° ( subtraction property of equality)
∠ABC = 180° – 90° (from (i))
∠ABC = 90 degree
6) ∠ABC is a right angle. ( Definition of right angle)
7) Δ ABC is a right triangle. ( Definition of right triangle)
Therefore, according to definition of right angled triangle,
The triangle ABC is a right angled triangle.
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What Is the answer to this geometric problem?
you can NOT assume points A, B, and F are collinear, since they could just be close together. also, they aren't all on a solid line, the line breaks halfway through.
also, the rest of the options could be proven by looking at the graph
hope this helps!! (sorry if i'm wrong, but i dont think i am)
Which expression is equal to √520−√345?
11√5
-√5
−11√5
√5
The value of the expression when simplified is equal to √5. The correct option is D.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given radical expression can be simplified as shown below,
5√20 - 3√45
Write the under root values in the factored form,
= 5√(4×5) - 3√(9×5)
Simply the function that can be simplified,
= 5(√4 × √5) - 3(√9 × √5)
= 5(2√5) - 3(3√5)
= 10√5 - 9√5
Take √5 as the common term from the two of the given terms,
= (10 - 9) √5
= 1 √5
= √5
Hence, the value of the expression when simplified is equal to √5.
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what is the most amount of change you can have in your pocket, but still not be able to give someone exact change for $1.00?
Hint: it is over $1.00 worth of change.
Answer: If you have three quarters, four dimes, and four pennies, you have $1.19, the largest amount of money in coins you could have without being able to make change for a dollar
If you were to roll the
dice two times what is the
probability it will NOT
land on a 4?
Answer:
.5
Step-by-step explanation:
was I right? if I was not sorry
Describe the end behavior of the graph f(x) using limits.
Answer:
um
Step-by-step explanation:
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Option B is the correct answer.
We have,
From the graph,
As the x-value increases, the function y-values goes to -∞.
As the x-value decreases, the function y-values goes to -∞.
Now,
f(x) is the y-value.
The end behavior of the graph f(x) using limits can be represented as,
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Thus,
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
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help please thank you
Mary did the following problem.
57 - 6^2 + (10 + 2)
57 - 6^2 + 12
57 - 36 + 12
57 - 48
9
Which of the statements is true?
It is wrong because 6^2 is 12.
It is correct.
It is wrong because the subtraction should have been done before the addition.
It is wrong because 57 - 48 is 11
Answer:
its C
Step-by-step explanation:
i got this right on my quiz
Answer: it's wrong because subtraction comes before addition
Step-by-step explanation:
in the order of operations, there is PEMDAS
parentheses
exponents
multiplication
addition
subtraction
from multiplication to subtraction it does not matter which one you do first as long as you solve left to right so...
57-36+48
moving left to right you would do 57-36 first
Would you use an equal sign or an inequality symbol in the following situation? Explain how to decide which sign to use
In many states you must be at least 16 years old to obtain a driver's license?
Answer:
You would use an inequality sign because the statement says at least, meaning you have to be above or exactly the age given.
Step-by-step explanation:
You would use an equal sign if it says you must be that exact age, meaning anyone above and under the age of 16 are not allowed to obtain their drivers license.
The ratio to boys to girls is 3:4.
If there is 12 boys how many girls are there?
Answer:
16
Step-by-step explanation:
3:4 to 12:?
3*4=12
so 4*4=16
12:16
Find each quotient
-7/12 divided by 1/7
Answer:
-4 1/12
i just put it in a calculator
Which statement is a correct interpretation of the vertical line test?
If only one vertical lire intersects the graph at exactly one point, the graph represents a function
Off only one vertical lire intersects the graph at exactly one point, the graph does not represent a function
• If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function
✓ x
the
Answer:
A and D
because those are the correct ones :)
Answer:
D. If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
Explanation:
I took the quiz and got it right.
Hope this Helps!
Which expression is equal to (5−2i)−(1+3i)
Answer:
4-5i
Step-by-step explanation:
Answer:
4-5i
Step-by-step explanation:
(5-2i)-(1+3i)
5-2i-1-3i
5-1-2i-3i
4-5i
Hans is using frequent flier miles to fly to a location 750 miles away, but the airline he is using still charges $20.19 for fees and taxes and $0.15 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.15x + $20.19 How much did Hans pay for his trip?
Answer:
Cost of the trip = $132.69
Step-by-step explanation:
Given:
Total distance = 750 mile
Fixed charge = $20.19
Variable charges = $0.15 per mile
Find:
Cost of the trip
Computation:
Y = $0.15x + $20.19
Y = $0.15(750) + $20.19
Y = $132.69
Cost of the trip = $132.69
Hi! I really suck at math so please help :)
Answer:
(-2,-4), (-1, -1), (0,2), (1,5)(2, 8)
Step-by-step explanation:
you plug x into the equation to get y
Answer:
-4, -1, 2, 5
Step-by-step explanation:
I used desmos to graph it
PLEASE HELP!
Elsa Is taking physical fitness tests in her strength training class. Each day, her results are compared to her resutts from previous days. The first day she completes a test is considered the baseline, and Is represented by 0. For instance, on the first day she did the flexibility test, her result was calculated as 0. On the second day, in comparison to her first day's result, she was able to reach 1 1/16 inches less than the first day, which was recorded as -1 1/16. Then, on the third day, Elsa recorded a result of -5/8.
A. On which day did Elsa reach farther: the second or third day?
B. By how much?
Answer:
A) The second day
B) 9/16 inches
A) Elsa reached farther on the second day because -1/16 > -5/8
B) To calculate this we must first put both fractions above the same denominator. We can then subtract the smaller one from the bigger one:
-1/16 - (-10/16) = 9/16
Elsa reached 9/16 inches farther on the second day then she did on the first.
Hope this helps and have a great day!
Also stay safe! :))))
Help pls. The number of questions that students missed on a 50 question science midterm is represented by the box and whisker plot below.
Which of the following statements is most likely to be true?
A. If the lowest grade of an A is an 88% then about 25% of the students earned an A.
B. About 25% of the students failed the exam.
C. About 75% of the students scored between 80% and 88% and earned a B.
D. If the lowest passing grade is 60% then some students failed the exam.
Answer: Read the step by step to learn and find the answer.
Step-by-step explanation:
We know that to grade something by percentage missing a certain amount of questions effects your grade. Think back to your last test. Maybe you got 3 or 4 wrong and ended up getting an 80 percent. Here we are going based off 50 questions. We know that if we get 19 questions wrong out of 50 we would get a 62%. If we got 14 wrong we would have a 72%. 9.5=81%. 6=88% and 4=92%. We already know the answer is NOT d or c because each section of the box and whisker is 25%. This means that the answer is 100% B. Especially because they asked what was most likely true and none of the other answers matched up.
Factor completely 36x2 + 6x - 6
Answer:
78x - 6 = 72x
Step-by-step explanation:
Greatest common factor of 36 and 6 is 6.
First pull 6 out of each term:
6(6x^2 +x -1)
Now factor the polynomial :
6(3x-1)(2x+1)
(01.01 LC)
Evaluate the following: -3 -(-6). (5 points)
-3
-18
-9
3
Answer:
(+) 3
Step-by-step explanation:
-3 -(-6)
Double negative = positive
-3 + 6
3
The Hu Family goes out for lunch, and the price of the meal is $53. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
i think its 64.66
Step-by-step explanation:
07x53=3.71
0.15x53=7.95+53=60.95+3.71=64.66
Answer:
$64.66
Step-by-step explanation:
find the amount of tax 53 x .07 = 3.71
find the amount of the tip 53 x .15 = 7.95
53 + 3.71 + 7.95 = 64.66
Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 17 years?
Answer:
A≈165553.09
Step-by-step explanation:
To the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
What is continuous compounding?The formula for calculating the amount of money in an account with continuous compounding is:
[tex]A = Pe^{(rt)}[/tex]
where:
A = the amount of money in the account after t years
P = the principal amount invested
r = the annual interest rate (as a decimal)
t = the time in years
e = Euler's number (approximately 2.71828)
Using this formula, we can calculate the amount of money in Samuel's account after 17 years as follows:
[tex]A = 53,000 \times e^{(0.067\times 17)[/tex]
A ≈ $174,529.50
Therefore, to the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
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HELP ASAP! TEST QUESTION! p varies directly with q and that p=66 when q=11. What is the value of p when q =2
Answer:
12
Step-by-step explanation:
if p=66 then q=11 that simply means p is 6 times greater than q. so if q=2 then p=12
please help what is 400÷56×14÷3
Answer: 33.3_
Step-by-step explanation:
400 divided by 56 equals 17.14_ and 17.4_ multiplied by 14 equals 100 and divided by 3 is equal to 33.3_
Answer: 0.0425
Step-by-step explanation:
PEMDAS
1. 56x14
2. 400/784
3. 0.1275/3
4. 0.0425
⚠️⚠️ HELP ASAP MARKING BRAINLIEST ⚠️⚠️
I will be forever gratefullllajanaamsms smaka
Answer:
slope is 2 and y intercepts at (0,3)
A smoothie shop receives a delivery of 682 ounces of grape juice and 570 ounces of orange juice.
If the Royal Purple smoothie requires 22 ounces of grape juice and the Orange Tango smoothie requires 19 ounces of orange juice, how many more Royal Purple smoothies than Orange Tango smoothies can be made with the shipment of juices?
A 2 smoothies
B 1 smoothie
C 13 smoothies
D 3 smoothies